Question

In Problems $19-26,$write the function whose graph is the graph of $y=x^3$but is:

Shifted to the right$4$ units

Short answer

The function is$y={(x-4)}^3.$

Step-by-step solution

Step 1. Given Information 

It is given that the function whose graph is the graph of $y=x^3$but it is shifted to the right by$4$ units.

Step 2. Stating the function of the graph

If the argument xof a function f is replaced by $x-h,h>0,$the graph of the new function $y=f(x-h)$ is the graph of fshifted horizontally right hunits.

Since the graph is shifted to the right by$4$ units, the function of the graph is$y={(x-4)}^3.$